Arezki Kheloufi, Boubaker-Khaled Sadallah
Abstract:
In this article, we study the parabolic equation
in the non-necessarily rectangular domain
The boundary conditions are of Robin type, while the right-hand
side lies in the Lebesgue space
.
Our aim is to find conditions on
and the functions
such that the solution
belongs to the anisotropic Sobolev space
.
For goal we use the method of approximation of domains.